how long is the arc subtended by an angle of 32 on a circle of radius 27 cm

Answer:

A, E

Step-by-step explanation:

Both of these numbers are 16 numbers away from 0.

The numbers for the absolute value of a number is 16 are;

a. 16

b. - 16

What is Modulus function?

The modulus function is the absolute value of a positive or negative number.

Given that;

The absolute value of a number is 16.

Now,

We know that;

The absolute value of number is always positive.

So, We get;

A. 16 = |16|

        = 16

E. - 16

= |- 16|

= 16

Thus, The numbers for the absolute value of a number is 16 are;

a. 16

b. - 16

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Answer:

Slope=4.25

Step-by-step explanation:

Formula for slope is y2-y1/x2-x1

Y1=51,y2=17,x1=12,x2=4

Input this values into the above formula

17-51/4-12

Slope=-34/-8

Divide both numerator and denominator by -2

Slope=17/4

Slope=4.25

Answer:

23/24

Step-by-step explanation:

7/12 + 3/8

The common denominator is 24

7/12 *2/2 = 14/24

3/8 *3/3 = 9/24

Add them together

14/24+9/24 =23/24

Surveys enable the collection of specific data points from a diverse population, allowing for a more accurate estimation of the percentage of citizens with children in school readiness support. This method ensures inclusivity and reliability in gathering information for decision-making purposes.

Conducting a survey would be the best method to gather information on the percentage of citizens in Los Angeles County who have children in school readiness support. Surveys allow for direct feedback from a representative sample of the population, providing a comprehensive understanding of the situation.

In the survey, a representative sample of citizens across different demographics can be asked whether they have children enrolled in school readiness support programs. By analyzing the responses, Los Angeles County can estimate the percentage of citizens with children in such programs.

Answer:

7*(2a-1)

Step-by-step explanation:

Answer:

7*(2a+1) / 2*(7a+1)

Step-by-step explanation:

Answer:

S(-3.5,0.5)

T(-1,-0.5)

The question means in Portuguese: In a certain addition of three consecutive natural numbers, the smallest is 49. What should the sum be?

English: Since 49 is the smallest number, the next number up and the next number up give us the 3 consecutive numbers. So 49+50+51 is 150.

Portuguese: Como 49 é o menor número, o próximo número acima e o próximo número acima nos dão os 3 números consecutivos. Então 49 + 50 + 51 é 150.

Answer:

option 1

Step-by-step explanation:

The shaded area is area of circle - area of 2 congruent triangles

area of circle = πr²

Note that the base and height of both triangles is the radius

Area o triangle = [tex]\frac{1}{2}[/tex] ×  r × r = [tex]\frac{1}{2}[/tex]r²

area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × r² = r²

area of shaded region = πr² - r² = r²(π - 1) → (1)

To represent the area of the shaded region in the figure, use the expression "r² (π+1)" as it closely approximates the calculation for the shaded area.

In the figure described, ABO and GOF are right triangles, and there's a shaded region within these triangles. To represent the area of the shaded region, we can consider the difference between the areas of the larger triangles ABO and GOF and the smaller semicircles centered at O within each triangle.

The area of a triangle is given by (1/2) × base × height, and the area of a circle is πr², where "r" is the radius.

Calculate the area of ABO: (1/2) × AB × AO

Calculate the area of GOF: (1/2) × GO × GF

Calculate the area of one semicircle: (1/2) × πr²

Now, to find the area of the shaded region, subtract the sum of the areas of the two semicircles from the sum of the areas of the two triangles:

Shaded Area = (ABO - πr²) + (GOF - πr²)

So, the representation for the area of the shaded region is:

Shaded Area = (1/2) × AB × AO + (1/2) × GO × GF - πr²

Therefore, option 2, "r² (π+1)," is the closest representation of the area of the shaded region.

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Answer:

Step-by-step explanation:

Figure out what each fraction is equivilent their decimal. Then you plot it based on the decimal

2 2/3 is 2.6 so plot it past the 2 and through 6 points

1 4/9 is 1.4        so plot it past the one and four points

Answer:

cube

Step-by-step explanation:

the four cubes in the middle make a square and the two other ones fill in the sides of the cube

Answer:

284.6 square yards

284.6 yd^2

Step-by-step explanation:

Base: 7 × 13 = 91

Rectangle Sides: 6.1 × 13 = 79.3 (x2 = 158.6)

Triangle Sides: 5 × 7 = 35 (÷2 ×2 = 35)

Add: 91 + 158.6 + 35 = 284.6

Answer:

BC is 25 units

Step-by-step explanation:

AB = AC

4x + 4 = 6x - 14

4x + 4 - 4x + 14 = 6x - 14 - 4x + 14

18 / 2 = 2x / 2

9 = x

2(9) + 7

18 + 7

25

Answer:  BC is 25 units

Answer: 1) 1 1/2, 2 1/4, and 4

Step-by-step explanation: 1) We know that the equation would be the cups of flour being multiplied by the batches. Like, 5 times 3/4 would equal 15/4 which would simplify to 3 3/4.

                 So, to find the first missing number, we do 2 x 3/4, which equals 6/4( 1 1/2).

                The next missing number would be 3, because we're going in order-- like 1, 2, 3, 4. So we do 3 x 3/4.

               We then don't have a number for batches this time. So we still do, 3/4 x 3 but this time we cross out both the 3 on the top and we're left with 4, our answer.

                The equation for this is 3/4 x b. (Did this help..?)

Answer:

  4(x - 2)^2 + 3x – 2 + 1 = 0

Step-by-step explanation:

The equation that has a highest x-power (degree) of 2 is quadratic.

The degrees of the answer choices are ...

So, only the first answer choice is a quadratic.

Answer:

10x8 + 7x4 + 1 = 0, or C

Step-by-step explanation:

got it right on edge

Hope this helps :)

Answer: 24

Step-by-step explanation:

Based on the inscribed angle theorem, the measure of angle CAB in circle (O) is: A. 24 degrees.

According to the inscribed angle theorem, the measure of an inscribed angle whose vertex lies on a circle is always half the measure of the intercepted arc that is subtended at a point on the circle.

Given the following data:

Based on the inscribed angle theorem, we have:

∠CAB = ∡CB/2

∠CAB = 48/2

∠CAB = 24 degrees.

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Step-by-step explanation:

[tex]15 {x}^{2} {y}^{3} \\ = 3 \times 5 \times x \times x \times y \times y \times y \\ \\ - 18 {x}^{3} yz \\ = - 2 \times 3 \times 3 \times x \times x \times x \times y \times z \\ \\ common \: factors = 3 \: x \: x \: y \\ \therefore \: greatest \: common \: factor \\ = 3 \times x \times x \times y \\ = 3 {x}^{2} y[/tex]

Maria had 2 yards of trim when she started.

Step-by-step explanation:

Step 1:

All of the sides of the triangle is 22 inches long each.

The total length of the sides of the triangle [tex]= 3(22) = 66.[/tex]

So the total length of the trim for the banner is 66 inches long.

If Maria still has [tex]\frac{1}{2}[/tex] a foot of trim left, she had 6 inches of the trim left.

The length of the trim when she started[tex]=66 +6 = 72[/tex] inches.

Step 2:

Now we need to convert the 72 inches into yards.

We have 1 inch = 0.0277778 yards.

So 72 inches [tex]= 0.0277778(72) = 2.[/tex]

So Maria had 2 yards of trim when she started.

Answer:

an = a1 + d(n - 1)

a88 = 4 + (-5)(88 - 1)

a88 = 4 + (-5)(87)

a88 = 4 - 435

a88 = -431

So, the 88th term of the arithmetic sequence is -431.

The 88th term of the given arithmetic sequence is equal to -431.

Given the following data:

To calculate the 88th term of the given arithmetic sequence:

Mathematically, the nth term of an arithmetic sequence is given by the formula:

[tex]a_n = a_1 + d(n - 1)[/tex]   ...equation 1.

Where:

First of all, we would determine the common difference as follows:

[tex]d = a_2 - a_1\\\\d=-1-4[/tex]

d = -5

Substituting the values into eqn. 1, we have:

[tex]a_{88} = 4 + [-5](88 - 1)\\\\a_{88} = 4 -5(87)\\\\a_{88} = 4 -435\\\\a_{88} = -431[/tex]

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Answer: 5>14x

Step-by-step explanation: 5 is more than the product which means multiplaction is 14 and x is the number so its 14x.

please give bainliest

The two teachers have 16 and 64 homework papers to return, totalling in 80.

They also have 14 and 60 quizzes to return, totalling in 74.

The ratio of homework papers to quizzes that need to be returned is 80:74

In total, there are 80 homework papers and 74 quizzes to be returned. The ratio for the total would be 80 : 74 (or 80/74), and 40 : 37 (or 40/37) simplified.

For Ms. G alone, the ratio would be 16 : 14 (or 16/14), and 8 : 7 (or 8/7) simplified.

For Ms. M alone, the ratio would be 64 : 60 (or 64/60), and 16 : 15 (or 16/15) simplified.

Hope this helps!! :)

Answer:

D. 507 square units

Step-by-step explanation:

surface area of the rectangular pyramid

[tex] = area \: of \: base + 4 \times area \: of \: one \: \triangle \\ \\ = {13}^{2} + 4 \times \frac{1}{2} \times 13 \times 13 \\ \\ = 169 + 2 \times 169 \\ \\ = 169 + 338 \\ \\ = 507 \: {units}^{2} \\ [/tex]

The surface area of the rectangular pyramid is,

⇒ 507 units²

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The rectangular pyramid is shown in image.

Hence, The surface area of the rectangular pyramid is,

⇒ Area of base + 4 × Area of triangle

⇒ 13 × 13 + 4 × 1/2 × 13 × 13

⇒ 169 + 2 × 169

⇒ 507 units²

Thus, The surface area of the rectangular pyramid is,

⇒ 507 units²

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We have to divide the dimensions by 9 to get a similar rectangle that's area is only 2 in.^2

Solution:

Given that,

For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.^2

In order to have a similar rectangle that's area is only 2 in.^2

Thus, we need to find the scale factor

Let "c" be the scale factor

Let "x" be the area of original rectangle

Let "y" be the area of dilated rectangle

Therefore,

[tex]c = \frac{y}{x}\\\\c = \frac{2}{18}\\\\c = \frac{1}{9}[/tex]

Therefore, we have to divide the dimensions by 9 to get a similar rectangle that's area is only 2 in.^2

Answer:

Divide them by three.

Answer:

3,854

Step-by-step explanation:

There’s 82 kids each learned 47 lines you would multiply

The children learned a total of 3854 lines of the song. This is found by multiplying the number of children by the number of lines in the song.

This problem involves simple multiplication. Since each child needs to learn one line of the song, and the fun song has 47 lines, to find the total number of lines the children learned altogether, you simply multiply the number of children by the number of lines in the song. Therefore, 82 (number of children) x 47 (number of lines in the song) equals 3854. So, the children learned 3854 lines in total.

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Answer:

4) J

5) D

Step-by-step explanation:

4) 416 = 2x² - 6x

2x² - 6x - 416 = 0

x² - 3x - 208 = 0

x² - 16x + 13x - 208 = 0

x(x - 16) + 13(x - 16) = 0

(x - 16)(x + 13) = 0

x = 16, -13(not possible)

So 16 rows

5) y = a(x - h)² + k

y = a(x - 3)² - 7

When x = 1, y = -10

-10 = a (1 - 3)² - 7

-10 = 4a - 7

4a = -3

a = -¾

y = -¾(x - 3)² - 7

For the given set of equations, x = 0 and y = 3.

Step-by-step explanation:

Step 1:

From the question,

[tex]-x + 2y = 6[/tex], take this as equation 1,

[tex]6y =x+18, x - 6y = -18[/tex], take this as equation 2.

Step 2:

When we add equation 1 and equation 2, the x variable is canceled out and y can be calculated.

[tex]-4y = -12, y = \frac{-12}{-4}, y = 3.[/tex]

Step 3:

Substituting this value of y in any of the previous equations we will get x's value.

Here this value of y i.e y = 3 is substituted in equation 1.

[tex]-x + 6 = 6, -x = 6 -6, -x=0, x=0.[/tex]

So we have x = 0 and y = 3.

Answer: Lydia

Step-by-step explanation:

Convert all distances to the smallest measure in which all distances can be in the same distance type, so that you can see what is the farthest. Note: inches won't be necessary because that's an unreasonable way to measure distance if you walk very far.

Rowan travelled 450 feet

Janelle travelled 429 feet 8 inches

Domingo travelled 392 feet

Lydia travelled 460 feet

Answer: Lydia

Step-by-step explanation:

Convert all distances to the smallest measure in which all distances can be in the same distance type, so that you can see what is the farthest. Note: inches won't be necessary because that's an unreasonable way to measure distance if you walk very far.

Rowan travelled 450 feet

Janelle travelled 429 feet 8 inches

Domingo travelled 392 feet

Lydia travelled 460 feet

Answer:

No

Step-by-step explanation:

Only products of variables is a monomial.

Quotient, sum or difference are not. This is a quotient

Here is the graph for the equation

Given function to be graphed is,

f(x) = (x - 2)(x - 6)

We will convert the equation of the function into the vertex form,

(x - 2)(x - 6) = x(x - 6) - 2(x - 6)

                  = x² - 6x - 2x + 12

                  = x² - 8x + 12

                  = x² - 2(4x) + 16 - 4

            f(x) = (x - 4)²- 4

By comparing this equation with the vertex form of the equation of a parabola,

g(x) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Therefore, vertex of the function 'f' will be (4, 4).

Now we will find the x-intercepts and y-intercept of the function.

For x-intercept, put f(x) = 0

0 = (x - 4)²- 4

(x - 4) = ±2

x = 4 ± 2

x = 2, 6

Therefore, x-intercepts of the function are (2, 0) and (6, 0).

For y-intercept, put x = 0

f(0) = (0 - 2)(0 - 6)

f(0) = 12

Therefore, y-intercept of the function is (0, 12).

By plotting these ordered pairs and joining them by a curve we can get the graph of the parabola.

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Answer:

10[tex]\leq[/tex]D+R

D[tex]\geq[/tex]R/3 (or 3D[tex]\geq[/tex]R)

Step-by-step explanation:

Say that D = Decaf and R = Regular

10[tex]\leq[/tex]D+R

D[tex]\geq[/tex]R/3 (or 3D[tex]\geq[/tex]R)